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Optimal design of spiral casing tongue and wicket gate angle by decomposition method
Author(s) -
Mrša Z.
Publication year - 1993
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650171106
Subject(s) - finite element method , casing , spiral (railway) , mathematics , solver , domain decomposition methods , function (biology) , geometry , computational fluid dynamics , mathematical analysis , engineering , mechanics , physics , structural engineering , mathematical optimization , mechanical engineering , evolutionary biology , biology
A method of optimal design of Francis turbine tongue and wicket gate angle for given spiral casing is proposed. The potential flow in the doubly connected domain is decomposed into basic and circulation flows. The intensity of circulation is then calculated by the least‐squares method minimizing the error function equal to the sum of squares of differences between given and calculated circumferential velocities in the outflow boundary nodes. It is shown that the error function has a sharp minimum, which qualifies the proposed method as well defined. For given numerical example, the variations in the outflow velocity angles are much smaller for optimal than for already used non‐optimal design. A finite element method is used, with originally developed pre‐ and post‐processor and frontal solver suited for personal computers.